132895886574528 has 672 divisors, whose sum is σ = 491539523904000. Its totient is φ = 33311346647040.

The previous prime is 132895886574487. The next prime is 132895886574541. The reversal of 132895886574528 is 825475688598231.

132895886574528 is a `hidden beast` number, since 1 + 3 + 2 + 8 + 9 + 5 + 8 + 86 + 5 + 7 + 4 + 528 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×132895886574528² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2661139383 + ... + 2661189321.

Almost surely, 2^{132895886574528} is an apocalyptic number.

132895886574528 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132895886574528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245769761952000).

132895886574528 is an abundant number, since it is smaller than the sum of its proper divisors (358643637329472).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

132895886574528 is a wasteful number, since it uses less digits than its factorization.

132895886574528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52073 (or 52060 counting only the distinct ones).

The product of its digits is 9289728000, while the sum is 81.

The spelling of 132895886574528 in words is "one hundred thirty-two trillion, eight hundred ninety-five billion, eight hundred eighty-six million, five hundred seventy-four thousand, five hundred twenty-eight".